4y + 1 = -3x --- (1)
5x + 6y = -3 --- (2)
From (1), we have:
4y = -3x - 1
y = (-3/4)x - (1/4) --- (3)
Substituting (3) into (2), we will get:
5x + 6((-3/4)x - (1/4)) = -3
5x - (18/4)x - (6/4) = -3
5x - (9/2)x - (3/2) = -3
10x - 9x - 3 = -6
x = 3 - 6
x = -3
Substituting x = -3 into (3), we will get:
y = (-3/4)(-3) - (1/4)
y = (9/4) - (1/4)
y = 8/4
y = 2
Hence, x = -3 and y = 2